Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6644/961, 5658/878 quickly i.e. 18795876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6644/961, 5658/878 is 18795876.
LCM(6644/961, 5658/878) = 18795876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6644/961,5658/878
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 6644,5658
Least Common Multiple of Numerators i.e. LCM of 6644,5658 is 18795876.
GCF of Denominators means GCF of 961,878 as per the given fractions.
GCF of 961,878 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6644,5658
2 | 6644, 5658 |
3322, 2829 |
∴ So the LCM of the given numbers is 2 x 3322 x 2829 = 18795876
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 6644,5658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6644,5658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6644,5658) x common factors =2 x 1 = 2
LCM(6644,5658) = ( 6644 × 5658 ) / 2
LCM(6644,5658) = 37591752 / 2
LCM(6644,5658) = 18795876
Lets's calculate GCF of 961,878
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18795876/1
Therefore the LCM of Fractions 6644/961,5658/878 is 18795876
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 961,878 . The biggest common factor number is the GCF number.
So the greatest common factor 961,878 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 6644/961, 5658/878?
Answer: LCM of Numerators as per given numbers 6644/961, 5658/878 is
LCM of Numerators i.e. for 6644,5658 is 18795876
GCF of denominators i.e. for 961,878 is 1.
Thus, LCM of Fractions is 18795876.Finally, LCM of Fractions for 6644/961, 5658/878 is 18795876.